The volume of a rectangular solid is 750 cubic units. The width (w) is 7 units more than the height (h) and the length (l) is 1 unit more than 8 times the height. What is the working equation to find the dimensions of the solid?
a. 750=(h+7)(8h+1)
b. 750=h(h+7)(8h+1)
c. v=(8h+1)(h)
d. v=(7w)(l)(8h)
a. 750=(h+7)(8h+1)
b. 750=h(h+7)(8h+1)
c. v=(8h+1)(h)
d. v=(7w)(l)(8h)
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Answer:
b. 750 = h (h + 7) (8h + 1)
Step-by-step explanation:
Formula for the volume of rectangle:
V = lwh (regardless of the order)
volume (V) = 750
length (l) = 8h + 1
width (w) = h + 7
height (h) = unknown (still remains as h)
Working equation: 750 = (8h + 1) (h + 7) h
or 750 = h (h + 7) (8h + 1)
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